The notes form the base text for the course �MAT-41196 Graph Theory�. They containan introduction to basic concepts and results in graph theory, with a special emphasis put onthe network-theoretic circuit-cut dualism. In many ways a model was the elegant and carefulpresentation of SWAMY & THULASIRAMAN, especially the older (and better) edition. There areof course many modern text-books with similar contents, e.g. the popular GROSS & YELLEN.